SOLUTION: what is the inverse function of y=3x^3-9 including steps?

Algebra.Com
Question 1169488: what is the inverse function of y=3x^3-9 including steps?
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!


General strategy: solve for x then swap x & y at the very end.
<--- added 9 to both sides
<--- divided both sides by 3
<--- took cube root of both sides
<--- re-wrote w/x on left hand side
Now swap x & y:
<--- this is the inverse function

Check...
You can check it by computing ... it should give you x back.
We plug in '' for 'x' in the inverse function:
(ok)
RELATED QUESTIONS

The inverse function of y = 3x - 5 is... (answered by chosenpoint)
My problem is to find an inverse of the function f(x)=(3x+7)^3-5. I know this is started (answered by jim_thompson5910)
Find the inverse of the function: y = (3x +... (answered by ankor@dixie-net.com)
What is the inverse function of f(x)=log base 3 (125x)? Can you show the... (answered by Fombitz)
what is the inverse function of the function:... (answered by solver91311)
What is the inverse of the linear function h(x)=x+7/4 steps needed... (answered by josgarithmetic)
1. what is the inverse of the function y=-4/3 x-9/3 2. what is the inverse relation... (answered by lynnlo)
What is the inverse function of... (answered by tommyt3rd)
what is the inverse function of f(x)=3+5x? (answered by josgarithmetic)